2 papers
math.DS2025
Local and Global Analysis of the Displacement Map Some Near Integrable Systems
Francisco Braun, Leonardo da Cruz, Joan Torregrosa
In this paper, we introduce an alternative method for applying averaging theory of orders and in the plane. This is done by combining Taylor expansions of the displacement…
math.AG2025
Bifurcations of polynomial functions with diffeomorphic fibers
Francisco Braun, Filipe Fernandes
The phenomena that cause a value of a polynomial function to be a bifurcation one are yet to be described when the fibers have dimension higher than . In this note, the main res…